Second-order characterizations of tilt stability with applications to nonlinear programming

BS Mordukhovich, TTA Nghia - Mathematical Programming, 2015 - Springer
The paper is devoted to the study of tilt-stable local minimizers of general optimization
problems in finite-dimensional spaces and its applications to classical nonlinear programs …

On computation of generalized derivatives of the normal-cone mapping and their applications

H Gfrerer, JV Outrata - Mathematics of Operations Research, 2016 - pubsonline.informs.org
The paper concerns the computation of the graphical derivative and the regular (Fréchet)
coderivative of the normal-cone mapping related to C 2 inequality constraints under very …

Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces

BS Mordukhovich, TTA Nghia - Nonlinear Analysis: Theory, Methods & …, 2013 - Elsevier
The paper is devoted to developing second-order tools of variational analysis and their
applications to characterizing tilt-stable local minimizers of constrained optimization …

Second-order variational analysis in conic programming with applications to optimality and stability

BS Mordukhovich, JV Outrata, H Ramírez C - SIAM Journal on Optimization, 2015 - SIAM
This paper is devoted to the study of a broad class of problems in conic programming
modeled via parameter-dependent generalized equations. In this framework we develop a …

On relaxing the Mangasarian–Fromovitz constraint qualification

AY Kruger, L Minchenko, JV Outrata - Positivity, 2014 - Springer
For the classical nonlinear program, two new relaxations of the Mangasarian–Fromovitz
constraint qualification are discussed and their relationship with some standard constraint …

Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification

BS Mordukhovich, JV Outrata - Kybernetika, 2013 - eudml.org
Abstract top The paper concerns the study of tilt stability of local minimizers in standard
problems of nonlinear programming. This notion plays an important role in both theoretical …

Graphical derivatives and stability analysis for parameterized equilibria with conic constraints

BS Mordukhovich, JV Outrata, H Ramírez C - Set-Valued and Variational …, 2015 - Springer
The paper concerns parameterized equilibria governed by generalized equations whose
multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main …

Some remarks on stability of generalized equations

R Henrion, AY Kruger, JV Outrata - Journal of Optimization Theory and …, 2013 - Springer
The paper concerns the computation of the graphical derivative and the regular (Fréchet)
coderivative of the solution map to a class of generalized equations, where the multivalued …

The last dozen of years of OR research in Czechia and Slovakia

J Jablonský, M Černý, J Pekár - Central European Journal of Operations …, 2022 - Springer
The paper discusses operations research (OR) history and achievements in Czechia and
Slovakia in 2010–2021 including the most significant OR professional events in the region …

On estimating the regular normal cone to constraint systems and stationarity conditions

M Benko, H Gfrerer - Optimization, 2017 - Taylor & Francis
Estimating the regular normal cone to constraint systems plays an important role for the
derivation of sharp necessary optimality conditions. We present two novel approaches and …